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Finding the Fourth Proportional to 50,031.32, 75,047.12 and 20,449.16

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Solution

The fourth proportional to 50,031.32, 75,047.12 and 20,449.16 is: 30,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,031.32 : 75,047.12 = 20,449.16 : x
  2. Step 2: Convert to fraction form
    50,031.32/75,047.12 = 20,449.16/x
  3. Step 3: Cross multiply
    50,031.32x = 75,047.12 × 20,449.16
  4. Step 4: Simplify right side
    50,031.32x = 1,534,650,086.94
  5. Step 5: Solve for x
    x = 1,534,650,086.94/50,031.32
  6. Step 6: Final answer
    x = 30,673.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.